Page 521 For Rihan
Q.1 Given: (Example: Solve 2x + 5 = 15) 2x + 5 = 15 2x = 10 \implies x = 5 Answer: Q.2 Given: (Example: Find LCM of 12 and 18) Prime factorization: 12 = 2^2 \times 3, \quad 18 = 2 \times 3^2 Answer: 36 Q.3 Given: (Example: Area of rectangle length 12 m, breadth 8 m) \text{Area} = l \times b = 12 \times 8 = 96 \, m^2 Answer: 96 m² Q.4 Given: (Example: Solve quadratic x² – 5x + 6 = 0) x^2 - 5x + 6 = 0 (x - 2)(x - 3) = 0 x = 2, 3 Answer: Q.5 Given: (Example: Sum of first 10 natural numbers) S_n = \frac{n(n+1)}{2} = \frac{10(11)}{2} = 55 Answer: 55 Q.6 Given: (Example: Simple Interest) Principal = 2000, rate = 5%, time = 2 years SI = \frac{P \cdot R \cdot T}{100} = \frac{2000 \cdot 5 \cdot 2}{100} = 200 Answer: 200 Q.7 Given: (Example: Solve A.P. problem, 1st term = 3, d = 2, find 10th term) a_n = a + (n-1)d = 3 + (10-1)2 = 3 + 18 = 21 Answer: 21 Q.8 Given: (Example: Triangle angles, ∠A + ∠B + ∠C = 180°, ∠A = 50°, ∠B =...